If Mauchly’s test is significant, you can report the Huynh-Feldt correction.
如果 Mauchly 球形性检验显著,你可以报告 Huynh-Feldt 校正的结果。
In a repeated-measures ANOVA with three time points, the Huynh-Feldt adjusted degrees of freedom reduced the risk of a misleading p-value when sphericity was violated.
在包含三个时间点的重复测量方差分析中,Huynh-Feldt 调整后的自由度在球形性被违反时能降低得到误导性 p 值的风险。
Huynh, H., & Feldt, L. S. (1976). Estimation of the Box correction for degrees of freedom from sample data in randomized block and split-plot designs. Journal of Educational Statistics(提出并系统讨论相关校正/估计,属于该术语的经典来源)
Maxwell, S. E., & Delaney, H. D. Designing Experiments and Analyzing Data(实验设计与方差分析教材中常见 Huynh–Feldt 与 Greenhouse–Geisser 的对照讲解)
Field, A. *Discovering Statistics Using (SPSS/IBM SPSS Statistics)*(应用统计教材中常在重复测量 ANOVA 章节出现 “Huynh-Feldt correction” 的报告方式)
Tabachnick, B. G., & Fidell, L. S. Using Multivariate Statistics(在重复测量与假设检验的讨论中常提及球形性与相应校正方法)